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okay so basically, each row, and square has to have one of each number
3.
4^3 is equal to 64. Therefor log4(64) must be equal to 3.
Jasmine is baking and selling cupcakes for $15 per dozen.
Let x be the number of dozens of cupcake made by Jasmine.
Her total sales= Sales Per Dozen X Number of Dozens of cupcake sold
= $15 X x = $15x
Since she would like to make more than $120 in cupcake sales.
It means her total sales must be greater than $120.
15x>120
x>120/15
x>8
The number line attached represents the solutions to the situation.
All integers to the right of 8 (excluding 8) satisfies the situation.
Hope this helps!:)
number - N
The sum of a number and three more than twice that number is 27.
N + (2N + 3) = 27
what is the smaller number ?
N + 2N + 3 = 27
3N = 27 - 3
3N = 24
N = 8
Check
N + (2N + 3) = 27 = 8 + (2x8 + 3) = 8 + 16 + 3 = 27
Answer is choice C
"Dilate with a scale factor of two" means "multiply each coordinate by two"
A = (2,3) turns into A' = (4,6)
B = (3,5) turns into B' = (6,10)
C = (7,4) turns into C' = (14,8)
Side Note: this quick shortcut only works if the center of dilation is the origin (0,0). If the center of dilation isn't the origin, then you will have to do a translation (shifting) before you can use the trick, and then you'll have to shift back. The idea of the shifting is so that the center of dilation becomes the origin on a temporary basis. Because no mention is made of the reference center, it is assumed to be the origin by default.
